Finite time blow-up of semi-linear Klein-Gordon equations with positive
 initial energy in FLRW spacetimes

Q: What type of study is this?

This is a Quantitative Study study.

Makoto Nakamura; Takuma Yoshizumi

doi:10.48550/arxiv.2505.09077

May 13, 2025Open Access

Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes

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Key Points

Sufficient conditions are identified for blow-up solutions in semi-linear Klein-Gordon equations.
These conditions were established using the concavity method applied to wave equations.
The research highlights the interaction between initial energy and solution behavior in FLRW spacetimes.
The study connects concepts from Minkowski spacetime to more complex spacetimes, expanding theoretical understanding.

Implication

Analysis shows sufficient conditions for blowing-up solutions in FLRW spacetimes, implying relevance to energy dynamics.

Abstract

Blowing-up solutions for semi-linear Klein-Gordon equations are considered in Friedmann-Lema\^itre-Robertson-Walker spacetimes. Some sufficient conditions are shown by applying the concavity method for semi-linear wave equations in the Minkowski spacetime to semi-linear Klein-Gordon equations in FLRW spacetimes.

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Cite This Study

Nakamura et al. (2025) studied this question.

synapsesocial.com/papers/68e82b12e7fc21a30050035e https://doi.org/10.48550/arxiv.2505.09077

View Full Paper

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Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes

Key Points

Implication

Abstract

Discussion

Cite This Study

Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes

Key Points

Implication

Abstract

Discussion

Cite This Study

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